In ` A B C ,` if the orthocentre is `(1,2)` and the circumcenter is (0, 0), then centroid of ` A B C)` is `(1/2,2/3)` (b) `(1/3,2/3)` `(2/3,1)` (d) none of these

((-3)/2)^(-1) is equal to 2/3 (b) 2/3 (c) 3/2 (d) none of these

Given b=2,c=sqrt(3),/_A=30^(0), then inradius of o+ABC is (sqrt(3)-1)/(2) (b) (sqrt(3)+1)/(2) (c) (sqrt(3)-1)/(4) (d) none of these

The straight lines 4ax+3by+c=0, where a+b+c are concurrent at the point a )(4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

In ABC, the coordinates of B are (0,0),AB=2,/_ABC=(pi)/(3), and the middle point of BC has coordinates (2,0) .The centroid o the triangle is ((1)/(2),(sqrt(3))/(2))(b)((5)/(3),(1)/(sqrt(3)))(4+(sqrt(3))/(3),(1)/(3))( d) none of these

If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) none of these

If (FIGURE),the values of a and b are 1,2 (b) 2,3quad (c) 1,3 (d) None of these

C(3,0) and D(3,1) are the points of trisection of a line segment AB . Find the respective coordinates of A and B . (a) (3,2) , (3,0) " " (b) (3,-1) , (3,2) " " (c) (-3,1) , (3,2) " " (d) None of these

If A+B=[(1,0),(1,1)] and A-2B=[(-1,1),(0,-1)] then A= (A) 1/3 [(1,1),(2,1)] (B) 1/3 [(2,1),(1,2)] (C) [(1,1),(2,1)] (D) none of these

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

If for a square matrix A,A^2=A then |A| is equal to (A) -3 or 3 (B) -2 or 2 (C) 0 or 1 (D) none of these